$\GL_2(\Z/152\Z)$-generators: |
$\begin{bmatrix}24&121\\141&108\end{bmatrix}$, $\begin{bmatrix}101&76\\114&47\end{bmatrix}$, $\begin{bmatrix}103&144\\94&5\end{bmatrix}$, $\begin{bmatrix}104&5\\137&88\end{bmatrix}$, $\begin{bmatrix}128&99\\105&66\end{bmatrix}$ |
Contains $-I$: |
yes |
Quadratic refinements: |
152.24.0-152.y.1.1, 152.24.0-152.y.1.2, 152.24.0-152.y.1.3, 152.24.0-152.y.1.4, 152.24.0-152.y.1.5, 152.24.0-152.y.1.6, 152.24.0-152.y.1.7, 152.24.0-152.y.1.8, 152.24.0-152.y.1.9, 152.24.0-152.y.1.10, 152.24.0-152.y.1.11, 152.24.0-152.y.1.12, 152.24.0-152.y.1.13, 152.24.0-152.y.1.14, 152.24.0-152.y.1.15, 152.24.0-152.y.1.16 |
Cyclic 152-isogeny field degree: |
$40$ |
Cyclic 152-torsion field degree: |
$2880$ |
Full 152-torsion field degree: |
$15759360$ |
This modular curve is isomorphic to $\mathbb{P}^1$.
This modular curve has infinitely many rational points but none with conductor small enough to be contained within the database of elliptic curves over $\Q$.
This modular curve minimally covers the modular curves listed below.
This modular curve is minimally covered by the modular curves in the database listed below.